Question

Show that l3+10l = l3l + l10l

Answer 1

Explanation:

By the definition of mod function:

IxI = x, if x > 0

= -x if x < 0

Now, simplify Left and right side individually,

LEFT SIDE : I 3+10I = I 13I

as 13 > 0, so I13I = 13

RIGHT SIDE: I3I +I10I

Now,as 3 > 0 and 10 > 0, so I3I = 3 and I10I = 10

hence, I3I +I10I = 3 + 10 = 13

Hence on simplifying the mod function , The left side = the Right side = 13

Hence l3+10l = l3l + l10l